In a large bowl, mix together all the meat mixture ingredients. Cover and marinate in the fridge for at least 2 hours or up to overnight. If the mixture releases excess liquid, strain it before assembling.
Preheat the oven to 220°C (428°F).
Open each pita to form a pocket and spread about ½ cup of the meat mixture inside. Press gently to distribute the meat in an even, thin layer.
Brush both sides of the filled pitas with vegetable oil. Arrange on a baking tray and bake for about 15 minutes, flipping halfway through, until golden and crispy and the meat is fully cooked.
Cut into quarters and serve hot with plain yogurt, a drizzle of pomegranate molasses on the side and your favorite veggies.